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Finding the Fourth Proportional to 306,719.10, 460,078.65 and 156,909.60

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Solution

The fourth proportional to 306,719.10, 460,078.65 and 156,909.60 is: 235,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.10 : 460,078.65 = 156,909.60 : x
  2. Step 2: Convert to fraction form
    306,719.10/460,078.65 = 156,909.60/x
  3. Step 3: Cross multiply
    306,719.10x = 460,078.65 × 156,909.60
  4. Step 4: Simplify right side
    306,719.10x = 72,190,756,940.04
  5. Step 5: Solve for x
    x = 72,190,756,940.04/306,719.10
  6. Step 6: Final answer
    x = 235,364.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.